Singular integral equations of convolution type with Cauchy kernel in the class of exponentially increasing functions

DOI10.1016/j.amc.2018.09.065zbMath1428.45002OpenAlexW2898390924WikidataQ129005565 ScholiaQ129005565MaRDI QIDQ2008366

Pingrun Li

Publication date: 25 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.065

zbMATH Keywords

Cauchy kernelRiemann boundary value problemsclass of exponentially increasing functionssingular integral equations of convolution type

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral equations with kernels of Cauchy type (45E05)

Related Items (12)

An efficient method for singular integral equations of non-normal type with two convolution kernels ⋮ Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator ⋮ Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems ⋮ EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE ⋮ Singular Integral Equations of Convolution Type with Reflection and Translation Shifts ⋮ Non-normal type singular integral-differential equations by Riemann-Hilbert approach ⋮ Solvability theory of convolution singular integral equations via Riemann-Hilbert approach ⋮ The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem ⋮ Solvability of some classes of singular integral equations of convolution type via Riemann-Hilbert problem ⋮ The solvability of a kind of generalized Riemann-Hilbert problems on function spaces \(H_{\ast }\) ⋮ ON SOLVABILITY OF SINGULAR INTEGRAL-DIFFERENTIAL EQUATIONS WITH CONVOLUTION ⋮ Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann-Hilbert method

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